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Finding the Third Proportional to 294,105 and 439,983

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Solution

The third proportional to 294,105 and 439,983 is: 658,217.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,105 : 439,983 = 439,983 : x
  2. Step 2: Convert to fraction form
    294,105/439,983 = 439,983/x
  3. Step 3: Cross multiply
    294,105x = 439,983 × 439,983
  4. Step 4: Simplify right side
    294,105x = 193,585,040,289
  5. Step 5: Solve for x
    x = 193,585,040,289/294,105
  6. Step 6: Final answer
    x = 658,217.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.